2026-06-08T14:03:41Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/346302023-08-11T09:45:59Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Muñoz, Vicente
author
Marcos Peréz, Ricardo
2023-06-19T14:53:55Z
2023-06-19T14:53:55Z
2015
0010-3616
10.1007/s00220-015-2312-1
https://hdl.handle.net/20.500.14352/34630
http://link.springer.com/article/10.1007%2Fs00220-015-2312-1
http://link.springer.com
We prove that a Poisson-Newton formula, in a broad sense, is associated to each Dirichlet series with a meromorphic extension to the whole complex plane of finite order. These formulas simultaneously generalize the classical Poisson formula and Newton formulas for Newton sums. Classical Poisson formulas in Fourier analysis, explicit formulas in number theory and Selberg trace formulas in Riemannian geometry appear as special cases of our general Poisson-Newton formula.
eng
Unified Treatment of Explicit and Trace Formulas via Poisson-Newton Formula
journal article
URL
https://docta.ucm.es/bitstreams/131a778e-893e-4321-8cca-a63229b361cd/download
File
MD5
7ef06b461c1ad726d456fbb8e09b4dba
350778
application/pdf
VMuñoz101.pdf
URL
https://docta.ucm.es/bitstreams/8457a923-dfd9-458c-821d-eed80765b956/download
File
MD5
7f673abf7d07d0585f0f0aa4260e21de
336527
application/pdf
VMuñoz101-1.pdf